Existence and stability results for multi-time scale stochastic fractional neural networks

被引：6

作者：

Wang, Dehua ^{[1
,2
]}

Ding, Xiao-Li ^{[3
]}

Ahmad, Bashir ^{[4
]}

机构：

[1] Univ Elect Sci & Technol China, Sch Math Sci, Chengdu, Sichuan, Peoples R China

[2] Xian Technol Univ, Sch Sci, Xian, Shaanxi, Peoples R China

[3] Xian Polytech Univ, Dept Math, Xian, Shaanxi, Peoples R China

[4] King Abdulaziz Univ, Fac Sci, Nonlinear Anal & Appl Math NAAM Res Grp, Jeddah, Saudi Arabia

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2019年 / 2019卷 / 01期

关键词：

Multi-time scale stochastic fractional neutral networks; Existence and uniqueness of solutions; Asymptotic stability; MITTAG-LEFFLER STABILITY; DIFFERENTIAL-EQUATIONS; DIFFUSION; DYNAMICS; DRIVEN; SYSTEM;

D O I：

10.1186/s13662-019-2368-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We apply the tools of functional analysis to investigate the existence and uniqueness of solutions for multi-scale stochastic fractional neutral networks. By constructing a descent Lyapunov functional, the asymptotic stability of the solution of the given problem is also studied. Finally, we present two examples to illustrate the effectiveness of the theory.

引用

页数：12

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